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Finding the Fourth Proportional to 41,405.84, 57,140.28 and 22,543.10

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Solution

The fourth proportional to 41,405.84, 57,140.28 and 22,543.10 is: 31,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,405.84 : 57,140.28 = 22,543.10 : x
  2. Step 2: Convert to fraction form
    41,405.84/57,140.28 = 22,543.10/x
  3. Step 3: Cross multiply
    41,405.84x = 57,140.28 × 22,543.10
  4. Step 4: Simplify right side
    41,405.84x = 1,288,119,046.07
  5. Step 5: Solve for x
    x = 1,288,119,046.07/41,405.84
  6. Step 6: Final answer
    x = 31,109.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.